Table B.1
Results of the MCMC modeling of the Bℓ (top rows), <B> (middle rows) and dT (bottom rows) curves of AU Mic
| Parameter | Name | value | Prior |
|---|---|---|---|
| Bℓ | |||
| GP amplitude (G) | θ1 | 84 ± 7 | mod Jeffreys (σBℓ) |
| Rec. period (d) | θ2 | 4.8591 ± 0.0019 | Gaussian (4.86, 0.1) |
| Evol. timescale (d) | θ3 | 101 ± 9 | log Gaussian (log 100, log 2) |
| Smoothing | θ4 | 0.38 ± 0.03 | Uniform (0, 3) |
| White noise (G) | θ5 | 7.9 ± 0.7 | mod Jeffreys (σBℓ) |
| Rms (G) | 7.2 | ||
![$\[\chi_{\mathrm{r}}^{2}\]$](/articles/aa/full_html/2025/08/aa55371-25/aa55371-25-eq63.png) |
2.3 | including photon noise only | |
| <B> | |||
| GP amplitude (kG) | θ1 | 0.135 ± 0.016 | mod Jeffreys (σ<B>) |
| Rec. period (d) | θ2 | 4.8633 ± 0.0016 | Gaussian (4.86, 0.1) |
| Evol. timescale (d) | θ3 | 208 ± 21 | log Gaussian (log 200, log 2) |
| Smoothing | θ4 | 0.43 ± 0.04 | Uniform (0, 3) |
| White noise (kG) | θ5 | 0.01 ± 0.01 | mod Jeffreys (σ<B>) |
| Rms (kG) | 0.038 | ||
![$\[\chi_{\mathrm{r}}^{2}\]$](/articles/aa/full_html/2025/08/aa55371-25/aa55371-25-eq64.png) |
0.98 | including photon noise only | |
| dT | |||
| GP amplitude (K) | θ1 | 10.5 ± 1.2 | mod Jeffreys (σdT) |
| Rec. period (d) | θ2 | 4.8611 ± 0.0015 | Gaussian (4.86, 0.1) |
| Evol. timescale (d) | θ3 | 167 ± 11 | log Gaussian (log 150, log 2) |
| Smoothing | θ4 | 0.46 ± 0.03 | Uniform (0, 3) |
| White noise (K) | θ5 | 0.2 ± 0.1 | mod Jeffreys (σdT) |
| Rms (K) | 0.95 | ||
![$\[\chi_{\mathrm{r}}^{2}\]$](/articles/aa/full_html/2025/08/aa55371-25/aa55371-25-eq65.png) |
0.60 | including photon noise only |
Notes. For each hyper parameter, we list the fitted value along with the corresponding error bar, as well as the assumed prior. The knee of the modified Jeffreys prior is set to the median error bars of the Bℓ, <B> and dT estimates (i.e., 4.7 G, 0.038 kG and 1.3 K respectively). For the recurrence period θ2, using a uniform prior yields the same result. For the evolution timescale θ3, the log Gaussian prior is set to a value ranging from 100 to 200 d (within a factor of 2), determined from preliminary runs.
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